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Finding the Fourth Proportional to 85,299.89, 127,895.09 and 35,414.42

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Solution

The fourth proportional to 85,299.89, 127,895.09 and 35,414.42 is: 53,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,299.89 : 127,895.09 = 35,414.42 : x
  2. Step 2: Convert to fraction form
    85,299.89/127,895.09 = 35,414.42/x
  3. Step 3: Cross multiply
    85,299.89x = 127,895.09 × 35,414.42
  4. Step 4: Simplify right side
    85,299.89x = 4,529,329,616.65
  5. Step 5: Solve for x
    x = 4,529,329,616.65/85,299.89
  6. Step 6: Final answer
    x = 53,098.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.